

    \filetitle{fisher}{Approximate Fisher information matrix in frequency domain}{model/fisher}

	\paragraph{Syntax}

\begin{verbatim}
[F,FF,Delta,Freq] = fisher(M,NPer,PList,...)
\end{verbatim}

\paragraph{Input arguments}

\begin{itemize}
\item
  \texttt{M} {[} model {]} - Solved model object.
\item
  \texttt{NPer} {[} numeric {]} - Length of the hypothetical range for
  which the Fisher information will be computed.
\item
  \texttt{PList} {[} cellstr {]} - List of parameters with respect to
  which the likelihood function will be differentiated.
\end{itemize}

\paragraph{Output arguments}

\begin{itemize}
\item
  \texttt{F} {[} numeric {]} - Approximation of the Fisher information
  matrix.
\item
  \texttt{FF} {[} numeric {]} - Contributions of individual frequencies
  to the total Fisher information matrix.
\item
  \texttt{Delta} {[} numeric {]} - Kronecker delta by which the
  contributions in \texttt{Fi} need to be multiplied to sum up to
  \texttt{F}.
\item
  \texttt{Freq} {[} numeric {]} - Vector of frequencies at which the
  Fisher information matrix is evaluated.
\end{itemize}

\paragraph{Options}

\begin{itemize}
\item
  \texttt{\textquotesingle{}chkSstate=\textquotesingle{}} {[}
  \texttt{true} \textbar{} \emph{\texttt{false}} \textbar{} cell {]} -
  Check steady state in each iteration; works only in non-linear models.
\item
  \texttt{\textquotesingle{}deviation=\textquotesingle{}} {[}
  \emph{\texttt{true}} \textbar{} \texttt{false} {]} - Exclude the
  steady state effect at zero frequency.
\item
  \texttt{\textquotesingle{}exclude=\textquotesingle{}} {[} char
  \textbar{} cellstr \textbar{} \emph{empty} {]} - List of measurement
  variables that will be excluded from the likelihood function.
\item
  \texttt{\textquotesingle{}percent=\textquotesingle{}} {[}
  \texttt{true} \textbar{} \emph{\texttt{false}} {]} - Report the
  overall Fisher matrix \texttt{F} as Hessian w.r.t. the log of
  variables; the interpretation for this is that the Fisher matrix
  describes the changes in the log-likelihood function in reponse to
  percent, not absolute, changes in parameters.
\item
  \texttt{\textquotesingle{}progress=\textquotesingle{}} {[}
  \texttt{true} \textbar{} \emph{\texttt{false}} {]} - Display progress
  bar in the command window.
\item
  \texttt{\textquotesingle{}solve=\textquotesingle{}} {[}
  \emph{\texttt{true}} \textbar{} \texttt{false} \textbar{} cellstr {]}
  - Re-compute solution in each differentiation step; you can specify a
  cell array with options for the \texttt{solve} function.
\item
  \texttt{\textquotesingle{}sstate=\textquotesingle{}} {[} \texttt{true}
  \textbar{} \emph{\texttt{false}} \textbar{} cell {]} - Re-compute
  steady state in each differentiation step; if the model is non-linear,
  you can pass in a cell array with opt used in the \texttt{sstate}
  function.
\end{itemize}

\paragraph{Description}

\paragraph{Example}


